16.2 miles.
Since she paid a $5 tip, the cost for her fare was $23.50. Let x be the number of 0.2-mile increments in the trip:
23.50 = 2.50 + 1 + 0.25(x-1)
This equation comes from the 2.50 home pick-up fee; $1 for the first 0.2-mile increment; and 0.25 for each other 0.2-mile increment.
Using the distributive property, we have:
23.50 = 2.50 + 1 + 0.25*x - 0.25*1
23.50 = 2.50 + 1 + 0.25x - 0.25
Combining like terms,
23.50 = 0.25x + 2.75
Subtracting 2.75 from both sides, we have:
23.50 - 2.75 = 0.25x + 2.75 - 2.75
20.25 = 0.25x
Dividing both sides by 0.25, we have:
20.25/0.25 = 0.25x/0.25
81 = x
This means there are 81 0.2-mile increments in her trip. 81(0.2) = 16.2 miles
a) situation you’re familiar with where one quantity changes constantly in relation to another quantity is Velocity = Distance/Time
b) the velocity is in direct proportion to distance and inverse relation to time.
c) The graph shown by velocity- time is a straight line graph.
<h3>what is algebra?</h3>
Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.
There is a equation we are familiar with , the equation of motion
Velocity = Distance/Time
Here, velocity increases or decreases if the distance also increases or decreases. But if time increases velocity decreases.
So, the velocity is in direct proportion to distance and inverse relation to time.
The graph shown by velocity- time is a straight line graph.
Learn more about algebra here:
brainly.com/question/953809
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The equation should be
j = 30 + 3a
j + a = 210
Solving the equation
j + a = 210
(30 + 3a) + a = 210
30 + 4a = 210
4a = 180
a = 45
j = 30 + 3a
j = 30 + 3 × 45
j = 30 + 135
j = 165
Aiden's weight is 45 pounds, Jonathan's weight is 165 pounds
Answer:
$660
Step-by-step explanation:
7.5 * 11 * 8 = $660
